Refer to the second-order RLC parallel circuit of Figure 4.33. Assume that a 1-A step input current is applied at time t0, all the circuit initial conditions are zero. (a) State the time domain...

Refer to the second-order RLC parallel circuit of Figure 4.33. Assume that a 1-A step input current is applied at time t0, all the circuit initial conditions are zero.

(a) State the time domain equation of the circuit inductor current; ensure that you show the equation as a second-order system equation.

(b) In a general fashion, explain the consequences when the roots are

(i) negative real and different, (ii) negative real and equal, and (iii) when the roots are complex conjugates.